In this article, we prove Carleman estimates for the generalized time-fractional advection-diffusion equations by considering the fractional derivative as perturbation for the first order time-derivative. As a direct application of… Click to show full abstract
In this article, we prove Carleman estimates for the generalized time-fractional advection-diffusion equations by considering the fractional derivative as perturbation for the first order time-derivative. As a direct application of the Carleman estimates, we show a conditional stability of a lateral Cauchy problem for the time-fractional advection-diffusion equation, and we also investigate the stability of an inverse source problem.
Keywords:
carleman estimates;
time fractional;
fractional advection;
advection diffusion;
time
Journal Title: Inverse Problems
Year Published: 2019
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Journal Title: Inverse Problems
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!